Garrett and carter went to the movies last weekend. together they bought 2 drinks and 2 popcorns. they spent a total of $12.50. thursday they met several other friends at the same theater. they purchased 6 drinks and 5 popcorns for a total of $33.75. what was the cost of one drink and one popcorn?

The cost of one drink is $2.50 and cost of one popcorn is $3.75

Explanation

Suppose, the cost of one drink is dollar and cost of one popcorn is dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

Multiplying equation (1) by -3 , we will get.....

Now, adding equation (2) and equation (3) , we will get ............

Plugging this into equation (1) ......

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

expression #3 is not equivalent. the others are.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50